29870485994832 has 320 divisors, whose sum is σ = 92677611110400. Its totient is φ = 8105368246272.

The previous prime is 29870485994821. The next prime is 29870485994857. The reversal of 29870485994832 is 23849958407892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5201196153 + ... + 5201201895.

It is an arithmetic number, because the mean of its divisors is an integer number (289617534720).

Almost surely, 2^{29870485994832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29870485994832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46338805555200).

29870485994832 is an abundant number, since it is smaller than the sum of its proper divisors (62807125115568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29870485994832 is a wasteful number, since it uses less digits than its factorization.

29870485994832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 78.

The spelling of 29870485994832 in words is "twenty-nine trillion, eight hundred seventy billion, four hundred eighty-five million, nine hundred ninety-four thousand, eight hundred thirty-two".